Hi GTL,
No, the template is part of the Description section HTML code on the listing. What's on the original listing is exactly what's on the relist. You can only make a few limited changes (Title, Qty, Price-Start:BIN:Reserve, Duration) for relist from Auctiva. You could certainly make major changes, like a full copy and paste of the HTML code from Auctiva to replace Description section, using eBay's relist editor.
Danno